225655200 has 288 divisors, whose sum is σ = 844945920. Its totient is φ = 58060800.

The previous prime is 225655187. The next prime is 225655217. The reversal of 225655200 is 2556522.

225655200 is a `hidden beast` number, since 2 + 2 + 5 + 655 + 2 + 0 + 0 = 666.

225655200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669432 + ... + 669768.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 2^225655200 is an apocalyptic number.

225655200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422472960).

225655200 is an abundant number, since it is smaller than the sum of its proper divisors (619290720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225655200 is a wasteful number, since it uses less digits than its factorization.

225655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225655200 is about 15021.8241235877. The cubic root of 225655200 is about 608.8100064950.

The spelling of 225655200 in words is "two hundred twenty-five million, six hundred fifty-five thousand, two hundred".